Rest-frame parameters of short and long GRBs

In this paper, we compile a more extensive sample of 82 SGRBs with measured redshifts and present a comprehensive study of their intrinsic characteristics. We obtain the median values of the intrinsic duration (T90,z), peak energy (Ep,z), isotropic energy (Eiso), and peak luminosity (Liso) as 0.47s, 466keV, 8.21x10^50^erg, and 3.22x10^51^erg/s, respectively.

We update the spectrum-energy correlations, and report E_p,z_{propto}E_iso_^0.36+/-0.05^ and E_p,z_{propto}L_iso_^0.33+/-0.04^, which further confirm the previous results that the E_p,z_-E_iso_ correlations of SGRBs and long gamma-ray bursts (LGRBs) are different and that this correlation can be used to distinguish GRB types. We report for the first time that there is a tighter correlation between the isotropic energy of the prompt emission of SGRBs and the star formation rate of their host galaxies, which reads sSFR{propto}E_iso_^0.38+/-0.11^.